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Finding the Fourth Proportional to 319,645.72, 441,117.24 and 176,402.69

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Solution

The fourth proportional to 319,645.72, 441,117.24 and 176,402.69 is: 243,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,645.72 : 441,117.24 = 176,402.69 : x
  2. Step 2: Convert to fraction form
    319,645.72/441,117.24 = 176,402.69/x
  3. Step 3: Cross multiply
    319,645.72x = 441,117.24 × 176,402.69
  4. Step 4: Simplify right side
    319,645.72x = 77,814,267,741.38
  5. Step 5: Solve for x
    x = 77,814,267,741.38/319,645.72
  6. Step 6: Final answer
    x = 243,439.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.